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Finding the Third Proportional to 407,268 and 851,688

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Solution

The third proportional to 407,268 and 851,688 is: 1,781,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,268 : 851,688 = 851,688 : x
  2. Step 2: Convert to fraction form
    407,268/851,688 = 851,688/x
  3. Step 3: Cross multiply
    407,268x = 851,688 × 851,688
  4. Step 4: Simplify right side
    407,268x = 725,372,449,344
  5. Step 5: Solve for x
    x = 725,372,449,344/407,268
  6. Step 6: Final answer
    x = 1,781,069.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.